TY  - JOUR
AU  - Chimpanzo, J.
AU  - Otero-Espinar, M.V.
AU  - Borges, A.
AU  - Vasco, P.
AU  - Catarino, P.
TI  - Bidimensional Extensions of Cobalancing and Lucas-Cobalancing Numbers
JF  - ANNALES MATHEMATICAE SILESIANAE
J2  - ANN MATH SIL
VL  - 38
PY  - 2024
IS  - 0
SP  - 1
SN  - 0860-2107
DO  - 10.2478/amsil-2023-0022
UR  - https://m2.mtmt.hu/api/publication/34449635
ID  - 34449635
AB  - A new bidimensional version of cobalancing numbers and Lucas-balancing numbers are introduced. Some properties and identities satisfied by these new bidimensional sequences are studied.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Hulku, S
AU  - Deveci, Ö
TI  - The Tribonacci-type balancing numbers and their applications
JF  - MATHEMATICA MORAVICA
J2  - MATH MORAV
VL  - 27
PY  - 2023
IS  - 1
SP  - 23
EP  - 35
PG  - 13
SN  - 1450-5932
UR  - https://m2.mtmt.hu/api/publication/33681052
ID  - 33681052
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, PK
TI  - CERTAIN IDENTITIES INVOLVING k-BALANCING AND k-LUCAS-BALANCING NUMBERS VIA MATRICES
JF  - ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS
J2  - ACTA MATH ACAD PAEDAG NYÍREGYH
VL  - 34
PY  - 2023
SP  - 120
EP  - 130
PG  - 11
SN  - 0866-0174
UR  - https://m2.mtmt.hu/api/publication/34080968
ID  - 34080968
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Rihane, S.E.
TI  - On k -Fibonacci numbers expressible as product of two Balancing or Lucas-Balancing numbers
JF  - INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
J2  - INDIAN J PURE AP MAT
VL  - 2023
PY  - 2023
SN  - 0019-5588
DO  - 10.1007/s13226-023-00485-0
UR  - https://m2.mtmt.hu/api/publication/34125146
ID  - 34125146
N1  - Export Date: 04 September 2023; Cited By: 0; Correspondence Address: S.E. Rihane; Department of Mathematics, Institute of Science and Technology, University Center of Mila, Mila, Algeria; email: salahrihane@hotmail.fr
AB  - The Balancing number n and the balancer r are solution of the Diophantine equation 1 + 2 + ⋯ + (n- 1) = (n+ 1) + (n+ 2) + ⋯ + (n+ r) . It is well known that if n is balancing number, then 8 n2+ 1 is a perfect square and its positive square root is called a Lucas-Balancing number. Let k≥ 2 . A generalization of the well-known Fibonacci sequence is the k-Fibonacci sequences. For these sequence the first k terms are 0 , … , 0 , 1 and each term afterwards is the sum of the preceding k terms. In this manuscript, our main objective is to find all k-Fibonacci numbers which are the product of two Balancing or Lucas-Balancing numbers. © 2023, The Indian National Science Academy.
LA  - English
DB  - MTMT
ER  - 

TY  - GEN
AU  - Romaissa, Kadri Boufenghour Amani
TI  - La relation entre les nombres de Cobalancing et systèmes d'équations aux différences
PY  - 2023
PG  - 74
UR  - https://m2.mtmt.hu/api/publication/34763090
ID  - 34763090
LA  - French
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Sari, S
AU  - Gozeri, GK
TI  - b3-subbalancing and b3-Lucas subbalancing numbers
JF  - FILOMAT
J2  - FILOMAT
VL  - 37
PY  - 2023
IS  - 22
SP  - 7623
EP  - 7639
PG  - 17
SN  - 0354-5180
DO  - 10.2298/FIL2322623S
UR  - https://m2.mtmt.hu/api/publication/33871543
ID  - 33871543
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tekcan, Ahmet
AU  - Turkmen, Esra Zeynep
TI  - Almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers
JF  - NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
J2  - NOTES NUMBER THEORY DISCRETE MATH
VL  - 29
PY  - 2023
IS  - 4
SP  - 682
EP  - 694
PG  - 13
SN  - 1310-5132
DO  - 10.7546/nntdm.2023.29.4.682
UR  - https://m2.mtmt.hu/api/publication/34591683
ID  - 34591683
AB  - In this work, the general terms of almost balancers, almost cobalancers, almost Lucasbalancers and almost Lucas-cobalancers of first and second type are determined in terms of balancing and Lucas-balancing numbers. Later some relations on all almost balancing numbers and all almost balancers are obtained. Further the general terms of all balancing numbers, Pell numbers and Pell-Lucas number are determined in terms of almost balancers, almost Lucasbalancers, almost cobalancers and almost Lucas-cobalancers of first and second type.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - UYSAL, MINE
AU  - ÖZKAN, ENGIN
AU  - SHANNON, ANTHONY G.
TI  - ON DUAL BICOMPLEX BALANCING AND LUCAS-BALANCING NUMBERS
JF  - JOURNAL OF SCIENCE AND ARTS
J2  - J SCI ARTS
VL  - 23
PY  - 2023
IS  - 4
SP  - 925
EP  - 938
PG  - 14
SN  - 1844-9581
UR  - https://m2.mtmt.hu/api/publication/34520421
ID  - 34520421
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Bartz, Jeremiah
AU  - Dearden, Bruce
AU  - Iiams, Joel
TI  - Jump sizes for polygonal balancing numbers
JF  - AUSTRALASIAN JOURNAL OF COMBINATORICS
J2  - AUSTRALAS J COMBIN
VL  - 83
PY  - 2022
IS  - 3
SP  - 337
EP  - 347
PG  - 11
SN  - 1034-4942
UR  - https://m2.mtmt.hu/api/publication/32916151
ID  - 32916151
N1  - Cited By :1            
            Export Date: 9 October 2023
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Bartz, Jeremiah
AU  - Dearden, Bruce
AU  - Iiams, Joel
TI  - Polygonal Balancing Numbers I
JF  - INTEGERS: ELECTRONIC JOURNAL OF COMBINATORIAL NUMBER THEORY
J2  - INTEGERS: ELECT J COMB NUM THEORY
VL  - 22
PY  - 2022
SN  - 1553-1732
UR  - https://m2.mtmt.hu/api/publication/32864193
ID  - 32864193
N1  - Cited By :2            
            Export Date: 9 October 2023
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Chinram, R.
AU  - Petchkaew, P.
AU  - Hangsawat, S.
TI  - A note of 2-distance balancing numbers
JF  - INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE
J2  - Int J Math Comp Sci
VL  - 17
PY  - 2022
IS  - 1
SP  - 135
EP  - 142
PG  - 8
SN  - 1814-0424
UR  - https://m2.mtmt.hu/api/publication/32852401
ID  - 32852401
N1  - Division of Computation Science, Faculty of Science, Prince of Songkla University Hat Yai, Songkhla, 90110, Thailand            
            Mathematics Program, Faculty of Science and Technology, Songkhla Rajabhat University, Songkhla, 90000, Thailand            
            Export Date: 9 October 2023            
            Correspondence Address: Hangsawat, S.; Mathematics Program, Thailand; email: saranya.nu@skru.ac.th
AB  - In this paper, we define and examine the concept of 2-distance balancing numbers. Moreover, we investigate some properties of those numbers and their recurrence relation. Furthermore, we provide the generating functions and Binet formula for 2-distance balancing numbers. © 2022. All Rights Reserved.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Soykan, Yüksel
TI  - Generalized Edouard Numbers
JF  - International Journal of Advances in Applied Mathematics and Mechanics
J2  - International Journal of Advances in Applied Mathematics and Mechanics
VL  - 9
PY  - 2022
IS  - 3
SP  - 41
EP  - 52
PG  - 12
SN  - 2347-2529
UR  - https://m2.mtmt.hu/api/publication/32760449
ID  - 32760449
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Soykan, Yüksel
AU  - Tasdemir, Erkan
AU  - Dikmen, Can Murat
TI  - On the sum of the cubes of generalized balancing numbers. The sum formula n∑k=0xkW3mk+j
TS  - The sum formula n∑k=0xkW3mk+j
JF  - Open Journal of Mathematical Sciences
J2  - Open J. Math. Sci.
VL  - 6
PY  - 2022
IS  - 1
SP  - 152
EP  - 167
PG  - 16
SN  - 2616-4906
UR  - https://m2.mtmt.hu/api/publication/32922417
ID  - 32922417
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tekcan, A
AU  - Erdem, A
TI  - General terms of all almost balancing numbers of first and second type
JF  - COMMUNICATIONS IN MATHEMATICS
J2  - COMMUN MATH
VL  - 31
PY  - 2022
IS  - 1
EP  - 167
SN  - 1804-1388
DO  - 10.46298/cm.10318
UR  - https://m2.mtmt.hu/api/publication/33256522
ID  - 33256522
AB  - In this work, we determined the general terms of all almost balancing numbers of first and second type in terms of balancing numbers and conversely we determined the general terms of all balancing numbers in terms of all almost balancing numbers of first and second type. We also set a correspondence between all almost balancing numbers of first and second type and Pell numbers. © 2023 Ahmet Tekcan and Alper Erdem.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tekcan, Ahmet
AU  - Yıldız, Meryem
TI  - Almost balcobalancing numbers
JF  - ANNALES UNIVERSITATIS SCIENTIARUM BUDAPESTINENSIS DE ROLANDO EOTVOS NOMINATAE SECTIO COMPUTATORICA
J2  - ANN UNIV SCI BP R EÖTVÖS NOM SECT COMPUT
VL  - 53
PY  - 2022
SP  - 71
EP  - 83
PG  - 13
SN  - 0138-9491
UR  - https://m2.mtmt.hu/api/publication/33298436
ID  - 33298436
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Erdem, Alper
TI  - 𝒕-Kobalans ve Lucas 𝒕-Kobalans Sayilari
PY  - 2021
UR  - https://m2.mtmt.hu/api/publication/32541599
ID  - 32541599
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Rihane, S.E.
TI  - On -Fibonacci balancing and -Fibonacci Lucas-balancing numbers
JF  - CARPATHIAN MATHEMATICAL PUBLICATIONS
J2  - CARPATH MATH PUB
VL  - 13
PY  - 2021
IS  - 1
SP  - 259
EP  - 271
PG  - 13
SN  - 2075-9827
DO  - 10.15330/cmp.13.1.259-271
UR  - https://m2.mtmt.hu/api/publication/32100889
ID  - 32100889
N1  - Cited By :3            
            Export Date: 9 October 2023            
            Correspondence Address: Rihane, S.E.; Department of Mathematics, Algeria; email: salahrihane@hotmail.fr
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Soykan, Yüksel
AU  - Ta̧sdemir, Erkan
AU  - Dikmen, Can Murat
TI  - A study on the sum of the squares of generalized Balancing numbers: the sum formula $\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$
JF  - Journal of Innovative Applied Mathematics and Computational Sciences
J2  - JIAMCS
VL  - 1
PY  - 2021
IS  - 1
SP  - 16
EP  - 30
PG  - 15
SN  - 2773-4196
UR  - https://m2.mtmt.hu/api/publication/32682524
ID  - 32682524
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tekcan, Ahmet
AU  - Yildiz, Meryem
TI  - Balcobalancing numbers and balcobalancers
JF  - CREATIVE MATHEMATICS AND INFORMATICS
J2  - CREAT MATH INFORM
VL  - 30
PY  - 2021
IS  - 2
SP  - 203
EP  - 222
PG  - 20
SN  - 1584-286X
DO  - 10.37193/CMI.2021.02.11
UR  - https://m2.mtmt.hu/api/publication/32367186
ID  - 32367186
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tekcan, Ahmet
TI  - k-Almost Balancing Numbers
JF  - INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND STATISTICS
J2  - INT J APPL MAT STAT
VL  - 60
PY  - 2021
IS  - 3
SP  - 82
EP  - 89
PG  - 8
SN  - 0973-1377
UR  - https://m2.mtmt.hu/api/publication/32328454
ID  - 32328454
AB  - In this work, we determine the general terms of k-almost balancing numbers and k-almost Lucas-balancing numbers of first and second type in terms of balancing and Lucas-balancing numbers for some integer k >= 1.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ahmet, Tekcan
AU  - Meryem, Yıldız
TI  - Balcobalancing Numbers
JF  - NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
J2  - NOTES NUMBER THEORY DISCRETE MATH
VL  - 25
PY  - 2020
IS  - 1
SN  - 1310-5132
UR  - https://m2.mtmt.hu/api/publication/31634000
ID  - 31634000
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Komatsu, T.
AU  - Panda, G.K.
TI  - On several kinds of sums of balancing numbers
JF  - ARS COMBINATORIA
J2  - ARS COMBINATORIA
VL  - 153
PY  - 2020
SP  - 127
EP  - 148
PG  - 22
SN  - 0381-7032
UR  - https://m2.mtmt.hu/api/publication/34183879
ID  - 34183879
AB  - The balancing numbers Bn (n = 0,1, • • •) are solutions of the binary recurrence Bn = 6Bn-i - Bn-2 (n > 2) with Bo = 0 and B\\ = 1. In this paper we show several relations about the sums of product of two balancing numbers of the type £m=o £fcm+r-Bfe(n-m)+r (fc > r > 0) and the alternating sum of reciprocal of balancing numbers -g^J j. Similar results are also obtained for Lucas-balancing numbers C« (n = 0,1,«• ♦), satisfying the binary recurrence Cn = 6Cn-i - Cn-2 (n > 2) with Co = 1 and C\\ = 3. Some binomial sums involving these numbers are also explored. © 2020 Charles Babbage Research Centre. All rights reserved.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Rayaguru, S. G.
AU  - Panda, G. K.
AU  - Davala, R. K.
TI  - Shift Balancing Numbers
JF  - JOURNAL OF THE INDIAN MATHEMATICAL SOCIETY
J2  - J IND MATH SOC
VL  - 87
PY  - 2020
IS  - 1-2
SP  - 131
SN  - 0019-5839
DO  - 10.18311/jims/2020/24872
UR  - https://m2.mtmt.hu/api/publication/31644540
ID  - 31644540
N1  - Department of Mathematics, National Institute of Technology, Rourkela, 769 008, India            
            Department of Mathematics, Gayatri Vidya Parishad College of Engineering (A), Visakhapatnam, 530048, India            
            Export Date: 9 October 2023
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, Prasanta Kumar
TI  - A cryptography method based on hyperbolic balancing and Lucas-balancing functions
JF  - PROYECCIONES JOURNAL OF MATHEMATICS
J2  - PROYECCIONES J MATH
VL  - 39
PY  - 2020
IS  - 1
SP  - 135
EP  - 152
PG  - 18
SN  - 0716-0917
DO  - 10.22199/issn.0717-6279-2020-01-0009
UR  - https://m2.mtmt.hu/api/publication/31197695
ID  - 31197695
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tekcan, Ahmet
AU  - Erdem, Alper
TI  - t-cobalancing numbers and t-cobalancers
JF  - NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
J2  - NOTES NUMBER THEORY DISCRETE MATH
VL  - 26
PY  - 2020
IS  - 1
SP  - 45
EP  - 58
PG  - 14
SN  - 1310-5132
DO  - 10.7546/nntdm.2020.26.1.45-58
UR  - https://m2.mtmt.hu/api/publication/31286436
ID  - 31286436
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Frontczak, Robert
TI  - Identities for generalized balancing numbers
JF  - NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
J2  - NOTES NUMBER THEORY DISCRETE MATH
VL  - 25
PY  - 2019
IS  - 2
SP  - 169
EP  - 180
PG  - 12
SN  - 1310-5132
DO  - 10.7546/nntdm.2019.25.2.169-180
UR  - https://m2.mtmt.hu/api/publication/30729832
ID  - 30729832
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kumar Ray, Prasanta
TI  - Identities concerning k-balancing and k-Lucas-balancing numbers of arithmetic indexes
JF  - AIMS MATHEMATICS
J2  - AIMS MATH
VL  - 4
PY  - 2019
IS  - 2
SP  - 308
EP  - 315
PG  - 8
SN  - 2473-6988
DO  - 10.3934/math.2018.2.308
UR  - https://m2.mtmt.hu/api/publication/30625997
ID  - 30625997
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tekcan, A
TI  - Sums and spectral norms of all almost balancing numbers
JF  - CREATIVE MATHEMATICS AND INFORMATICS
J2  - CREAT MATH INFORM
VL  - 28
PY  - 2019
IS  - 2
SP  - 203
EP  - 214
PG  - 12
SN  - 1584-286X
UR  - https://m2.mtmt.hu/api/publication/30918070
ID  - 30918070
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tekcan, Ahmet
TI  - Almost balancing, triangular and square triangular numbers
JF  - NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
J2  - NOTES NUMBER THEORY DISCRETE MATH
VL  - 25
PY  - 2019
IS  - 1
SP  - 108
EP  - 121
PG  - 14
SN  - 1310-5132
DO  - 10.7546/nntdm.2019.25.1.108-121
UR  - https://m2.mtmt.hu/api/publication/30957747
ID  - 30957747
AB  - In this work, we derive some new algebraic relations on all almost balancing numbers (of first and second type) and triangular (and also square triangular) numbers.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Dutta, U.K.
AU  - Pradhan, S.S.
AU  - Ray, P.K.
TI  - Regularized products over balancing and lucas-balancing numbers
JF  - INDIAN JOURNAL OF MATHEMATICS
J2  - INDIAN J MATH
VL  - 60
PY  - 2018
IS  - 2
SP  - 171
EP  - 179
PG  - 9
SN  - 0019-5324
UR  - https://m2.mtmt.hu/api/publication/30325980
ID  - 30325980
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Frontczak, Robert
TI  - A note on hybrid convolutions involving Balancing and Lucas-Balancing numbers
JF  - APPLIED MATHEMATICAL SCIENCES
J2  - APPLIED MATHEMATICAL SCIENCES
VL  - 12
PY  - 2018
IS  - 25
SP  - 1201
EP  - 1208
PG  - 8
SN  - 1312-885X
DO  - 10.12988/ams.2018.87111
UR  - https://m2.mtmt.hu/api/publication/30380100
ID  - 30380100
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Frontczak, Robert
TI  - Sums of Balancing and Lucas-Balancing numbers with binomial coefficients
JF  - INTERNATIONAL JOURNAL OF MATHEMATICAL ANALYSIS
J2  - INT J MATH ANAL
VL  - 12
PY  - 2018
IS  - 12
SP  - 585
EP  - 594
PG  - 10
SN  - 1312-8876
DO  - 10.12988/ijma.2018.81067
UR  - https://m2.mtmt.hu/api/publication/30331624
ID  - 30331624
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Karadeniz, Gözeri G
TI  - On Pell, Pell-Lucas, and balancing numbers
JF  - JOURNAL OF INEQUALITIES AND APPLICATIONS
J2  - J INEQUAL APPL
VL  - 2018
PY  - 2018
SN  - 1025-5834
DO  - 10.1186/s13660-017-1599-1
UR  - https://m2.mtmt.hu/api/publication/27161865
ID  - 27161865
N1  - \n Export Date: 25 November 2018 \n Correspondence Address: Karadeniz Gözeri, G.; Department of Mathematics, Faculty of Science, Istanbul University, Vezneciler, Turkey; email: gulkaradeniz@gmail.com
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Panda, G.K.
AU  - Komatsu, T.
AU  - Davala, R.K.
TI  - Reciprocal sums of sequences involving balancing and lucas-balancing numbers
JF  - MATHEMATICAL REPORTS
J2  - MATH REP
VL  - 20
PY  - 2018
IS  - 2
SP  - 201
EP  - 214
PG  - 14
SN  - 1582-3067
UR  - https://m2.mtmt.hu/api/publication/30325981
ID  - 30325981
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Rayaguru, S.G.
AU  - Panda, G.K.
TI  - Repdigits as products of consecutive balancing or Lucas-balancing numbers
JF  - FIBONACCI QUARTERLY
J2  - FIBONACCI QUART
VL  - 56
PY  - 2018
IS  - 4
SP  - 319
EP  - 324
PG  - 6
SN  - 0015-0517
UR  - https://m2.mtmt.hu/api/publication/34183880
ID  - 34183880
N1  - Cited By :12            
            Export Date: 9 October 2023
AB  - Repdigits are natural numbers formed by the repetition of a single digit. In this paper, we explore the presence of repdigits in the product of consecutive-balancing or Lucas-balancing numbers. © 2018 The Fibonacci Association. All rights reserved.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tasci, Dursun
TI  - GAUSSIAN BALANCING NUMBERS AND GAUSSIAN LUCAS-BALANCING NUMBERS
JF  - JOURNAL OF SCIENCE AND ARTS
J2  - J SCI ARTS
PY  - 2018
IS  - 3
SP  - 661
EP  - 666
PG  - 6
SN  - 1844-9581
UR  - https://m2.mtmt.hu/api/publication/30554457
ID  - 30554457
AB  - In this study we define Gaussian balancing numbers and Gaussian Lucas-balancing numbers. Then we obtain Binet-like formulas, generating functions and some identities related with Gaussian balancing numbers and Gaussian Lucas-balancing numbers. Moreover, we give the new properties of Gaussian balancing numbers and Gaussian Lucas-balancing numbers in relation with balancing matrix formula.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Gozeri, Gul Karadeniz
AU  - Ozkoc, Arzu
AU  - Tekcan, Ahmet
TI  - SOME ALGEBRAIC RELATIONS ON BALANCING NUMBERS
JF  - UTILITAS MATHEMATICA
J2  - UTIL MAT
VL  - 103
PY  - 2017
SP  - 217
EP  - 236
PG  - 20
SN  - 0315-3681
UR  - https://m2.mtmt.hu/api/publication/26743899
ID  - 26743899
LA  - English
DB  - MTMT
ER  - 

TY  - BOOK
AU  - Knott, Ron
TI  - Fibonacci Numbers and the Golden Section
PB  - University of Surrey, Department of Mathematics
CY  - Surrey
PY  - 2017
UR  - https://m2.mtmt.hu/api/publication/26661831
ID  - 26661831
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ozkoc, Arzu
AU  - Tekcan, Ahmet
AU  - Gozeri, Gul Karadeniz
TI  - TRIANGULAR AND SQUARE TRIANGULAR NUMBERS INVOLVING GENERALIZED PELL NUMBERS
JF  - UTILITAS MATHEMATICA
J2  - UTIL MAT
VL  - 102
PY  - 2017
SP  - 231
EP  - 254
PG  - 24
SN  - 0315-3681
UR  - https://m2.mtmt.hu/api/publication/26555445
ID  - 26555445
N1  - \n Department of Mathematics, Faculty of Science, Uludag University, Goriikle, Bursa, Turkey \n Department of Mathematics, Faculty of Science, Istanbul University, Vezneciler, Istanbul, Turkey \n Cited By :1 \n Export Date: 25 November 2018
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, PK
TI  - Balancing Polynomials and Their Derivatives
JF  - UKRAINIAN MATHEMATICAL JOURNAL
J2  - UKR MATH J
VL  - 69
PY  - 2017
IS  - 4
SP  - 646
EP  - 663
PG  - 18
SN  - 0041-5995
DO  - 10.1007/s11253-017-1386-7
UR  - https://m2.mtmt.hu/api/publication/27018601
ID  - 27018601
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, Prasanta Kumar
AU  - Pradhan, Sushree Sangeeta
TI  - Greatest Common Divisors of Shifted Balancing Numbers
JF  - BOLETIM DA SOCIEDADE PARANAENSE DE MATEMATICA
J2  - B SOC PARAN MAT
VL  - 35
PY  - 2017
IS  - 3
SP  - 273
EP  - 283
PG  - 11
SN  - 0037-8712
DO  - 10.5269/bspm.v35i3.26093
UR  - https://m2.mtmt.hu/api/publication/26924019
ID  - 26924019
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, Prasanta Kumar
TI  - On the properties of k-balancing and k-Lucas-balancing numbers
JF  - ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA
J2  - ACTA COMM UNI TARTUENSIS MAT
VL  - 21
PY  - 2017
IS  - 2
SP  - 259
EP  - 274
PG  - 16
SN  - 1406-2283
DO  - 10.12697/ACUTM.2017.21.18
UR  - https://m2.mtmt.hu/api/publication/27319360
ID  - 27319360
LA  - English
DB  - MTMT
ER  - 

TY  - GEN
AU  - Komatsu, T
AU  - Ray, PK
TI  - Higher-order identities for balancing numbers
PY  - 2016
PG  - 28
UR  - https://m2.mtmt.hu/api/publication/26063944
ID  - 26063944
LA  - English
DB  - MTMT
ER  - 

TY  - GEN
AU  - Komatsu, T
AU  - Panda, GK
TI  - On several kinds of sums of balancing numbers
PY  - 2016
UR  - https://m2.mtmt.hu/api/publication/26063941
ID  - 26063941
LA  - English
DB  - MTMT
ER  - 

TY  - GEN
AU  - Komatsu, Takao
AU  - Ray, Prasanta Kumar
TI  - Higher-order identities for balancing numbers
PY  - 2016
PG  - 28
UR  - https://m2.mtmt.hu/api/publication/26169994
ID  - 26169994
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Panda, Akshaya Kumar
TI  - Some Variants of the Balancing Sequence
PY  - 2016
UR  - https://m2.mtmt.hu/api/publication/30641660
ID  - 30641660
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Panda, Akshaya Kumar
TI  - Some Variants of the Balancing Sequence
PY  - 2016
SP  - 92
UR  - https://m2.mtmt.hu/api/publication/26656701
ID  - 26656701
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, P K
TI  - Certain diophantine equations involving balancing and Lucas-balancing numbers
JF  - ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA
J2  - ACTA COMM UNI TARTUENSIS MAT
VL  - 20
PY  - 2016
IS  - 2
SP  - 165
EP  - 173
PG  - 9
SN  - 1406-2283
DO  - 10.12697/ACUTM.2016.20.14
UR  - https://m2.mtmt.hu/api/publication/26474133
ID  - 26474133
N1  - \n Export Date: 25 November 2018 \n Correspondence Address: Ray, P.K.; Veer Surendra Sai University of TechnologyIndia; email: rayprasanta2008@gmail.com
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, Prasanta Kumar
TI  - A trigonometry approach to balancing numbers and their related sequences
JF  - Sigmae
J2  - Sigmae
VL  - 5
PY  - 2016
IS  - 2
SP  - 1
EP  - 7
PG  - 7
SN  - 2317-0840
UR  - https://m2.mtmt.hu/api/publication/26841986
ID  - 26841986
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, Prasanta Kumar
AU  - Sahu, Juli
TI  - Generating functions for certain balancing and Lucas-balancing numbers
JF  - PALESTINE JOURNAL OF MATHEMATICS
J2  - PJM
VL  - 5
PY  - 2016
IS  - 2
SP  - 122
EP  - 129
PG  - 8
SN  - 2219-5688
UR  - https://m2.mtmt.hu/api/publication/25916005
ID  - 25916005
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Swain, Sujata
AU  - Pratihary, Chidananda
AU  - Ray, Prasanta Kumar
TI  - Balancing and Lucas-Balancing Numbers and Their Application to Cryptography
JF  - Computer Engineering and Applications Journal
J2  - ComEngApp
VL  - 5
PY  - 2016
IS  - 1
SP  - 29
EP  - 36
PG  - 8
SN  - 2252-4274
UR  - https://m2.mtmt.hu/api/publication/30641659
ID  - 30641659
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tekcan, Ahmet
AU  - Ozkoc, Arzu
AU  - Erasik, Meltem E
TI  - SOME ALGEBRAIC RELATIONS ON INTEGER SEQUENCES INVOLVING OBLONG AND BALANCING NUMBERS
JF  - ARS COMBINATORIA
J2  - ARS COMBINATORIA
VL  - 128
PY  - 2016
SP  - 11
EP  - 31
PG  - 21
SN  - 0381-7032
UR  - https://m2.mtmt.hu/api/publication/26206952
ID  - 26206952
N1  - \n Uludag University, Faculty of Science, Department of Mathematics, Bursa, Turkey \n Düzce University, Faculty of Arts and Science, Department of Mathematics, Düzce, Turkey \n Cited By :1 \n Export Date: 25 November 2018
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ahmet, Tekcan
AU  - Merve, Tayat
AU  - Olajos, Péter
TI  - Balancing, Pell and square triangular functions
JF  - MISKOLC MATHEMATICAL NOTES
J2  - MISKOLC MATH NOTES
VL  - 16
PY  - 2015
IS  - 2
SP  - 1219
EP  - 1231
PG  - 13
SN  - 1787-2405
DO  - 10.18514/MMN.2015.1724
UR  - https://m2.mtmt.hu/api/publication/3005637
ID  - 3005637
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Catarino, P
AU  - Campos, H
AU  - Vasco, P
TI  - On some identities for balancing and co-balancing numbers
JF  - ANNALES MATHEMATICAE ET INFORMATICAE
J2  - ANN MATH INFORM
VL  - 45
PY  - 2015
SP  - 11
EP  - 24
PG  - 14
SN  - 1787-5021
UR  - https://m2.mtmt.hu/api/publication/25916010
ID  - 25916010
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, P.K.
TI  - Balancing and Lucas-balancing sums by matrix methods
JF  - MATHEMATICAL REPORTS
J2  - MATH REP
VL  - 17
PY  - 2015
IS  - 2
SP  - 225
EP  - 233
PG  - 9
SN  - 1582-3067
UR  - https://m2.mtmt.hu/api/publication/34183867
ID  - 34183867
AB  - The balancing number n and the balancer r are solution of a simple Diophantine equation 1 + 2 + ⋯ + (n - 1) = (n + 1) + (n + 2) + ⋯ + (n + r). It is well known that if n is balancing number, then 8n2 + 1 is a perfect square and its positive square root is called a Lucas-balancing number. There is another way to generate balancing numbers and their related number sequences through matrices. The matrix representation indeed, gives many known and new formulas for these numbers. In this paper, two special types of 2 × 2 matrices (Formula presented.) and (Formula presented.) are introduced to derive some balancing and Lucas-balancing sums. Also, these matrices are used to establish some new identities for balancing and Lucas-balancing numbers.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, PK
AU  - Swain, S
TI  - On the Hadamard Product of Balancing Q^n_B Matrix and Balancing Q^(−n)_B Matrix
JF  - TWMS Journal of Applied and Engineering Mathematics
J2  - TWMS Journal of Applied and Engineering Mathematics
VL  - 5
PY  - 2015
IS  - 2
SP  - 201
EP  - 207
PG  - 7
SN  - 2146-1147
UR  - https://m2.mtmt.hu/api/publication/25426804
ID  - 25426804
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Rout, S S
AU  - Panda, G K
TI  - k-Gap balancing numbers
JF  - PERIODICA MATHEMATICA HUNGARICA
J2  - PERIOD MATH HUNG
VL  - 70
PY  - 2015
IS  - 1
SP  - 109
EP  - 121
PG  - 13
SN  - 0031-5303
DO  - 10.1007/s10998-014-0067-7
UR  - https://m2.mtmt.hu/api/publication/25074764
ID  - 25074764
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Rout, S S
TI  - Some generalizations and properties of balancing numbers
PY  - 2015
SP  - 102
UR  - https://m2.mtmt.hu/api/publication/32195375
ID  - 32195375
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Sudhansu, Sekhar Rout
TI  - Some Generalizations and Properties of Balancing Numbers
PY  - 2015
SP  - 112
UR  - https://m2.mtmt.hu/api/publication/25915939
ID  - 25915939
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Panda, G K
AU  - Rout, S S
TI  - Periodicity of Balancing Numbers
JF  - ACTA MATHEMATICA HUNGARICA
J2  - ACTA MATH HUNG
VL  - 143
PY  - 2014
IS  - 2
SP  - 274
EP  - 286
PG  - 13
SN  - 0236-5294
DO  - 10.1007/s10474-014-0427-z
UR  - https://m2.mtmt.hu/api/publication/25074766
ID  - 25074766
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, PK
AU  - Dial, GK
AU  - Patel, BK
TI  - Application of Some Recurrence Relations to Cryptography using Finite State Machine
JF  - INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND ELECTRONICS ENGINEERING
J2  - IJCSEE
VL  - 2
PY  - 2014
IS  - 4
SP  - 220
EP  - 223
PG  - 4
SN  - 2320-401X
UR  - https://m2.mtmt.hu/api/publication/24379873
ID  - 24379873
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, PK
TI  - Some congruences for balancing and Lucas-balancing numbers and their applications
JF  - INTEGERS: ELECTRONIC JOURNAL OF COMBINATORIAL NUMBER THEORY
J2  - INTEGERS: ELECT J COMB NUM THEORY
VL  - 14
PY  - 2014
SN  - 1553-1732
UR  - https://m2.mtmt.hu/api/publication/25916022
ID  - 25916022
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, Prasanta Kumar
TI  - On the properties of Lucas-balancing numbers by matrix method
JF  - Sigmae
J2  - Sigmae
VL  - 3
PY  - 2014
IS  - 1
SP  - 1
EP  - 6
PG  - 6
SN  - 2317-0840
UR  - https://m2.mtmt.hu/api/publication/26655718
ID  - 26655718
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Liptai, Kálmán
TI  - (a,b)-type balancing numbers
JF  - SURIKAISEKIKENKYUSHO KOKYUROKU / RIMS KOKYUROKU
J2  - RIMS KOKYUROKU
VL  - 1874
PY  - 2013
SP  - 115
EP  - 124
PG  - 10
SN  - 1880-2818
UR  - https://m2.mtmt.hu/api/publication/3058935
ID  - 3058935
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Panda, GK
AU  - Rout, SS
TI  - Gap balancing numbers
JF  - FIBONACCI QUARTERLY
J2  - FIBONACCI QUART
VL  - 51
PY  - 2013
IS  - 3
SP  - 239
EP  - 248
PG  - 10
SN  - 0015-0517
UR  - https://m2.mtmt.hu/api/publication/23333064
ID  - 23333064
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, PK
TI  - New identities for the common factors of balancing and lucas-balancing numbers
JF  - INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS
J2  - INT J PURE APPL MATH
VL  - 85
PY  - 2013
IS  - 3
SP  - 487
EP  - 494
PG  - 8
SN  - 1311-8080
DO  - 10.12732/ijpam.v85i3.5
UR  - https://m2.mtmt.hu/api/publication/25915997
ID  - 25915997
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, Prasanta Kumar
TI  - Factorizations of the negatively subscripted balancing and Lucas-balancing numbers
JF  - BOLETIM DA SOCIEDADE PARANAENSE DE MATEMATICA
J2  - B SOC PARAN MAT
VL  - 31
PY  - 2013
IS  - 2
SP  - 161
EP  - 173
PG  - 13
SN  - 0037-8712
DO  - 10.5269/bspm.v31i2.14263
UR  - https://m2.mtmt.hu/api/publication/26655691
ID  - 26655691
N1  - Cited By :7            
            Export Date: 9 October 2023            
            Correspondence Address: Ray, P.K.; International Institute of Information and Technology, Bhubaneswar -751003, India; email: prasanta@iiit-bh.ac.in
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Szalay, László
TI  - Balansz számok és általánosításaik
JF  - DIMENZIÓK: MATEMATIKAI KÖZLEMÉNYEK
J2  - DIMENZIÓK
VL  - 1
PY  - 2013
SP  - 11
EP  - 13
PG  - 3
SN  - 9789633590195
SN  - 2064-2172
UR  - https://m2.mtmt.hu/api/publication/2339000
ID  - 2339000
LA  - Hungarian
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tengely, Szabolcs
TI  - Balancing numbers which are products of consecutive integers
JF  - PUBLICATIONES MATHEMATICAE DEBRECEN
J2  - PUBL MATH DEBRECEN
VL  - 83
PY  - 2013
IS  - 1-2
SP  - 197
EP  - 205
PG  - 9
SN  - 0033-3883
DO  - 10.5486/PMD.2013.5654
UR  - https://m2.mtmt.hu/api/publication/1962085
ID  - 1962085
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Dash, KK
AU  - Ota, RS
AU  - Dash, S
TI  - t-Balancing Numbers
JF  - INTERNATIONAL JOURNAL OF CONTEMPORARY MATHEMATICAL SCIENCES
J2  - INT J CONTEMP MATH SCI
VL  - 7
PY  - 2012
IS  - 41
SP  - 1999
EP  - 2012
PG  - 14
SN  - 1312-7586
UR  - https://m2.mtmt.hu/api/publication/22481124
ID  - 22481124
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - K K, Dash
AU  - R S, Ota
TI  - Sequence $t$-balancing numbers
JF  - INTERNATIONAL JOURNAL OF CONTEMPORARY MATHEMATICAL SCIENCES
J2  - INT J CONTEMP MATH SCI
VL  - 7
PY  - 2012
IS  - 47
SP  - 2305
EP  - 2310
PG  - 6
SN  - 1312-7586
UR  - https://m2.mtmt.hu/api/publication/23174366
ID  - 23174366
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Liptai, Kálmán
AU  - Olajos, Péter
TI  - About the equation $B_m^{(a,b)}=f(x)$
JF  - ANNALES MATHEMATICAE ET INFORMATICAE
J2  - ANN MATH INFORM
VL  - 40
PY  - 2012
SP  - 47
EP  - 55
PG  - 9
SN  - 1787-5021
UR  - https://m2.mtmt.hu/api/publication/2341471
ID  - 2341471
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, PK
TI  - Application of Chybeshev polynomials in factorizations of balancing and Lucas-balancing numbers
JF  - BOLETIM DA SOCIEDADE PARANAENSE DE MATEMATICA
J2  - B SOC PARAN MAT
VL  - 30
PY  - 2012
IS  - 2
SP  - 49
EP  - 56
PG  - 8
SN  - 0037-8712
DO  - 10.5269/bspm.v30i2.12714
UR  - https://m2.mtmt.hu/api/publication/27018826
ID  - 27018826
N1  - \n Cited By :6 \n Export Date: 25 November 2018 \n Correspondence Address: Ray, P.K.; C.V. Raman College of Engineering, Bhubaneswar -752054, India; email: rayprasanta2008@gmail.com
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, Prasanta Kumar
TI  - Certain Matrices Associated with Balancing and Lucas-balancing Numbers
JF  - MATEMATIKA
J2  - MATEMATIKA
VL  - 28
PY  - 2012
IS  - 1
SP  - 15
EP  - 22
PG  - 8
SN  - 0127-8274
UR  - https://m2.mtmt.hu/api/publication/26655687
ID  - 26655687
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ray, Prasanta Kumar
TI  - Curious Congruences for Balancing Numbers
JF  - INTERNATIONAL JOURNAL OF CONTEMPORARY MATHEMATICAL SCIENCES
J2  - INT J CONTEMP MATH SCI
VL  - 7
PY  - 2012
IS  - 18
SP  - 881
EP  - 889
PG  - 9
SN  - 1312-7586
UR  - https://m2.mtmt.hu/api/publication/26655697
ID  - 26655697
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Szekrényesi, G
TI  - Parallel algorithm for determining the "small solutions" of thue equations
JF  - ANNALES MATHEMATICAE ET INFORMATICAE
J2  - ANN MATH INFORM
VL  - 40
PY  - 2012
SP  - 125
EP  - 134
PG  - 10
SN  - 1787-5021
UR  - https://m2.mtmt.hu/api/publication/27018825
ID  - 27018825
N1  - \n Export Date: 25 November 2018 \n Correspondence Address: Szekrényesi, G.; University of Miskolc, Department of Applied MathematicsHungary; email: gergosz5@gmail.com
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - G K, Panda
AU  - Prasanta, Kumar Ray
TI  - Some links of balancing and cobalancing numbers with Pell and associated Pell numbers
JF  - BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIAE SINICA
J2  - BULL INST MATH ACAD SIN
VL  - 6
PY  - 2011
IS  - 1
SP  - 41
EP  - 72
PG  - 32
SN  - 0304-9825
UR  - https://m2.mtmt.hu/api/publication/23726583
ID  - 23726583
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Szakács, T
TI  - Multiplying balancing numbers,
VL  - 3
PY  - 2011
IS  - 1
SP  - 90
EP  - 96
PG  - 7
UR  - https://m2.mtmt.hu/api/publication/21205110
ID  - 21205110
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Szakács, Tamás
TI  - Multiplying balancing numbers
JF  - ACTA UNIVERSITATIS SAPIENTIAE MATHEMATICA
J2  - ACTA UNIV SAPIENTIAE MATH
VL  - 3
PY  - 2011
IS  - 1
SP  - 90
EP  - 96
PG  - 7
SN  - 1844-6094
UR  - https://m2.mtmt.hu/api/publication/2775055
ID  - 2775055
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Kovács, Tünde
TI  - Combinatorial Diophantine equations
PB  - Debreceni Egyetem
PY  - 2011
SP  - 104
UR  - https://m2.mtmt.hu/api/publication/1989297
ID  - 1989297
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Bérczes, Attila
AU  - Liptai, Kálmán
AU  - Pink, István
TI  - On generalized balancing sequences
JF  - FIBONACCI QUARTERLY
J2  - FIBONACCI QUART
VL  - 48
PY  - 2010
IS  - 2
SP  - 121
EP  - 128
PG  - 8
SN  - 0015-0517
UR  - https://m2.mtmt.hu/api/publication/1427122
ID  - 1427122
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kovács, Tünde
AU  - Liptai, Kálmán
AU  - Olajos, Péter
TI  - On (a,b)-balancing numbers
JF  - PUBLICATIONES MATHEMATICAE DEBRECEN
J2  - PUBL MATH DEBRECEN
VL  - 77
PY  - 2010
IS  - 3-4
SP  - 485
EP  - 498
PG  - 14
SN  - 0033-3883
DO  - 10.5486/PMD.2010.4857
UR  - https://m2.mtmt.hu/api/publication/1419242
ID  - 1419242
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Olajos, Péter
TI  - Properties of balancing, cobalancing and generalized balancing numbers
JF  - ANNALES MATHEMATICAE ET INFORMATICAE
J2  - ANN MATH INFORM
VL  - 37
PY  - 2010
SP  - 125
EP  - 138
PG  - 14
SN  - 1787-5021
UR  - https://m2.mtmt.hu/api/publication/1944862
ID  - 1944862
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - P K, Ray
TI  - Balancing and cobalancing numbers. PhD. Thesis
TS  - PhD. Thesis
PY  - 2009
UR  - https://m2.mtmt.hu/api/publication/23726594
ID  - 23726594
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - G K, Panda
TI  - Sequence balancing and cobalancing numbers
JF  - FIBONACCI QUARTERLY
J2  - FIBONACCI QUART
VL  - 45
PY  - 2007
IS  - 3
SP  - 265
EP  - 272
PG  - 8
SN  - 0015-0517
UR  - https://m2.mtmt.hu/api/publication/23726593
ID  - 23726593
N1  - Cited By :33            
            Export Date: 9 October 2023            
            Correspondence Address: Panda, G. K.; Department of Mathematics, , Rourkela - 769 008, Orissa, India; email: gkpanda_nit@rediffmail.com            
            Funding details: National Aeronautics and Space Administration            
            Funding details: National Natural Science Foundation of China, 41201034, 41330529, 41571024            
            Funding details: Chinese Academy of Sciences, 2013RC202            
            Funding details: China Meteorological Administration, CMA            
            Funding details: Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Science            
            Funding text 1: The observed precipitation data were provided by the China Meteorological Administration (http://www.escience.gov.cn/metdata/page/index.html). We appreciate the free access of the NASA's Land Data Assimilation Systems (http://ldas.gsfc.nasa.gov/gldas/). This research was supported by the Natural Science Foundation of China (41330529, 41571024, and 41201034) and the program for ?Bingwei? Excellent Talents, Institute of Geographic Sciences and Natural Resources Research, CAS (project 2013RC202).
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Szalay, László
TI  - On the resolution of simultaneous Pell equations
JF  - ANNALES MATHEMATICAE ET INFORMATICAE
J2  - ANN MATH INFORM
VL  - 34
PY  - 2007
SP  - 77
EP  - 87
PG  - 11
SN  - 1787-5021
UR  - https://m2.mtmt.hu/api/publication/1805873
ID  - 1805873
N1  - Jogelőd folyóirat (címváltozás): Acta Academiae Pedagogica 
Agriensis, Sectio Mathematicae
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Liptai, Kálmán
TI  - Lucas balancing numbers
JF  - ACTA MATHEMATICA UNIVERSITATIS OSTRAVIENSIS
J2  - ACTA MATH UNIV OSTRAVIENSIS
VL  - 14
PY  - 2006
SP  - 43
EP  - 47
PG  - 5
SN  - 1214-8148
UR  - https://m2.mtmt.hu/api/publication/2135332
ID  - 2135332
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Szalay, László
TI  - Eredmények a polinomiális és exponenciális diofantikus egyenletek elméletéből
PY  - 2005
SP  - 112
UR  - https://m2.mtmt.hu/api/publication/1805908
ID  - 1805908
LA  - Hungarian
DB  - MTMT
ER  -